If a distance of 25m is represented by 5 cm on a map drawn to scale, find the actual distance represented by 8cm on this map
To find the actual distance represented by 8 cm on the map, we can use the proportion:
25 m / 5 cm = x / 8 cm
Cross-multiplying, we get:
(25 m)(8 cm) = (5 cm)(x)
200 m = 5 cm x
Now, we can solve for x by dividing both sides of the equation by 5 cm:
200 m / 5 cm = x
x = 40 m
Therefore, 8 cm on the map represents an actual distance of 40 meters.
To solve this problem, we can use the concept of proportions.
First, let's set up the proportion using the given information:
25m is represented by 5cm on the map.
x meters are represented by 8cm on the map.
So, we can set up the proportion as:
25m / 5cm = x meters / 8cm
To solve for x, we cross multiply and then divide:
25m * 8cm = 5cm * x meters
200m = 5cm * x meters
To isolate x, we divide both sides of the equation by 5cm:
200m / 5cm = x meters
40m = x meters
Therefore, 8cm on the map represents an actual distance of 40 meters.